How Long to Read Geometry of Möbius Transformations

By Vladimir V. Kisil

How Long Does it Take to Read Geometry of Möbius Transformations?

It takes the average reader 3 hours and 32 minutes to read Geometry of Möbius Transformations by Vladimir V. Kisil

Assuming a reading speed of 250 words per minute. Learn more

Description

This book is a unique exposition of rich and inspiring geometries associated with Möbius transformations of the hypercomplex plane. The presentation is self-contained and based on the structural properties of the group SL2(R). Starting from elementary facts in group theory, the author unveils surprising new results about the geometry of circles, parabolas and hyperbolas, using an approach based on the Erlangen programme of F Klein, who defined geometry as a study of invariants under a transitive group action.The treatment of elliptic, parabolic and hyperbolic Möbius transformations is provided in a uniform way. This is possible due to an appropriate usage of complex, dual and double numbers which represent all non-isomorphic commutative associative two-dimensional algebras with unit. The hypercomplex numbers are in perfect correspondence with the three types of geometries concerned. Furthermore, connections with the physics of Minkowski and Galilean space-time are considered.

How long is Geometry of Möbius Transformations?

Geometry of Möbius Transformations by Vladimir V. Kisil is 207 pages long, and a total of 53,199 words.

This makes it 70% the length of the average book. It also has 65% more words than the average book.

How Long Does it Take to Read Geometry of Möbius Transformations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 50 minutes to read Geometry of Möbius Transformations aloud.

What Reading Level is Geometry of Möbius Transformations?

Geometry of Möbius Transformations is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Geometry of Möbius Transformations?

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